Question

In 1657 Otto von Guericke, inventor of the air pump, evacuated
asphere made of two brass hemispheres (Fig. P9.84). Two teams
ofeight horses each could pull the hemispheres apart only on
sometrials and even then with the greatest difficulty.

Figure P9.84

(a) Show that the force required to pull
theevacuated hemispheres apart is πR2(P0-
P), where R is the radius of the hemispheresand
P is the pressure inside the sphere, which is muchless
than atmospheric pressure P0. (Do this onpaper.
Your instructor may ask you to turn in this work.)